Public learning track
Exponential and Logarithmic Functions, Graphs, and Equations
9th Grade · Math · Open Global Math
11 lessons
Goal
Model growth and decay, graph exponential and logarithmic functions across bases 2, 10, and e, and solve equations.
Featured Diagrams
Exponential Growth vs. Decay from Equations
11 lessons
0 of 11 done
- 1Exponential Growth vs. Decay from EquationsUp nextStart
- 2Graphing Exponential Functions with Bases 2, 10, and ePremiumNot started yet
- 3Converting Between Exponential and Logarithmic FormsNot started yet
- 4Graphing Logarithmic Functions with Bases 2, 10, and eNot started yet
- 5Graphing the Inverse Relationship Between Exponential and Logarithmic FunctionsNot started yet
- 6Solving Exponential Equations with Common BasesNot started yet
- 7Solving Exponential Equations Using LogarithmsNot started yet
- 8Solving Basic Logarithmic EquationsNot started yet
- 9Modeling Exponential Growth and Compound InterestNot started yet
- 10Modeling Exponential Decay and Half-LifeNot started yet
- 11Writing Exponential Functions from DataNot started yet
Standards Covered
- OGM.10.FNC.4Open Global Math Standards 2026™ · Math · Level 10 / High School 1 (Age 14) · Grade 9Model exponential growth and decay situations, graph exponential and logarithmic functions (bases 2, 10, e), identify key features (intercepts, asymptotes), convert between exponential and logarithmic forms, and solve exponential and logarithmic equations.
- OGM.10.FNC.6Open Global Math Standards 2026™ · Math · Level 10 / High School 1 (Age 14) · Grade 9Determine the inverse of a function, verify inverse relationships using function composition and reflection across y = x, and apply domain restrictions where appropriate.
Curriculum Framework
9th Grade · Math · Open Global Math
1
11 lessons
Functions, Domain, Range, and Piecewise Representations
Evaluate functions, determine domain and range across multiple notations, and construct and analyze piecewise-defined functions.
2
17 lessons
Linear Functions, Forms, Slopes, and Direct Variation
Analyze, graph, convert, and model with linear functions in all forms, including slope relationships and direct variation.
3
9 lessons
Quadratic Functions, Forms, and Key Attributes
Analyze, convert, graph, and model quadratic functions across standard, vertex, and factored forms.
4
11 lessons
Exponential and Logarithmic Functions, Graphs, and Equations
Model growth and decay, graph exponential and logarithmic functions across bases 2, 10, and e, and solve equations.
5
8 lessons
Parent Function Families and Inverse Variation
Graph and analyze parent functions (absolute value, square root, cube root, reciprocal, cubic, sine/cosine) and model inverse variation.
6
7 lessons
Transformations of Parent Functions
Apply, identify, and formulate vertical and horizontal translations, stretches, compressions, and reflections across all function families.
7
7 lessons
Inverse Functions, Composition, and Invertibility
Determine inverse functions algebraically, verify inverses via composition and graphical symmetry, and restrict domains for one-to-one invertibility.
8
9 lessons
Arithmetic and Geometric Sequences and Series
Represent arithmetic and geometric sequences recursively and explicitly, link to linear/exponential growth, and derive and evaluate geometric series.
9
8 lessons
Coordinate Intersections, Graphical Solutions, and Equivalence
Explain graphs as solution sets, find intersection coordinates of y = f(x) and y = g(x) to solve f(x) = g(x), and compare growth models.